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An Economy Has Two People, Charlie and Doris

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An economy has two people, Charlie and Doris. There are two goods, apples and bananas. Charlie has an initial endowment of 3 apples and 12 bananas. Doris has an initial endowment of 6 apples and 6 bananas. Charlie's utility function is U(AC, BC) = ACBC, where AC is his apple consumption and BC is his banana consumption. Doris's utility function is U(AD, BD) = ADBD, where AD and BD are her apple and banana consumptions. At every Pareto optimal allocation,


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